Home
Class 12
MATHS
If log(x)log(18) (sqrt(2)+sqrt(8)) = (-1...

If `log_(x)log_(18) (sqrt(2)+sqrt(8)) = (-1)/(2)`. Then the value of `x`.

A

is a perfect square

B

is a composite number

C

relatively prime with 25

D

is a prime number

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Suppose that, log_(10) (x-2) + log_(10) y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) . Then the value of (x + y) , is

If x = sqrt(7)+(1)/(sqrt(7)) , then the value of (128)^(x^(2)) is-

Given log_(10)2 = a and log_(10)3 = b . If 3^(x+2) = 45 , then the value of x in terms of a and b is-

Suppose 3 sin ^(-1) ( log _(2) x ) + cos^(-1) ( log _(2) y) =pi //2 " and " sin^(-1) ( log _(2) x ) + 2 cos^(-1) ( log_(2) y) = 11 pi//6 , then the value of x^(-2) + y^(-2) equals

1/((log)_(sqrt(b c))a b c)+1/((log)_(sqrt(c a))a b c)+1/((log)_(sqrt(a b))a b c) has the value of equal to: a. 1/2 b. 1 c. 2 d. 4

If log_3 2, log_3 (2^x -5) and log_3 (2^x-7/2) are in A.P , determine the value of x .

If y= log (x + sqrt(x^(2) + a^(2))) then (dy)/(dx) = ………

f(x)=sqrt((log(x-1))/(x^(2)-2x-8)) . Find the domain of f(x).

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is